Converting 16.2384 to a Fraction
Step-by-step explanation of how to convert 16.2384 to a fraction
Result
16.2384 =
10149
625
Mixed number:
16
149
625
Step 1: Identify the number of decimal places
The decimal 16.2384 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
16.2384 × 10000 = 162384
Step 3: Write as a fraction
16.2384 =
162384
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 162384 and 10000.
GCD(162384, 10000) = 16
Divide both the numerator and denominator by the GCD:
162384
10000
=
162384 ÷ 16
10000 ÷ 16
=
10149
625
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